5 tons of sand cost $7,200.00. What is the price per pound?

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{128}{64}[/tex] = 2 , then

[tex]a_{n}[/tex] = 64 [tex](2)^{n-1}[/tex] → B

Answer:

b).

[tex]{ \tt{a _{n} = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}[/tex]

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

Answer:

The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters

Step-by-step explanation:

The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h

Where;

ρ = The density of the fluid

g = The acceleration due to gravity ≈  9.81 m/s²

h = The depth of the body in the fluid

The pressure at the surface of water = The atmospheric pressure = 101,325 Pa

The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;

Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure

∴ Pressure due to water  = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure

Pressure due to water, P  = Atmospheric pressure = 101,325 Pa

The depth of water, h = P/(ρ·g)

The density of water, ρ = 997 kg/m³

∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters

The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.

Step-by-step explanation:

ratio =4:1

total= 4+1 =5

1/5 × 52= 10.4 years

Answer:

Step-by-step explanation:

let age of Shyam=x

age of Ram=x+4

x+x+4=52

2x=52-4=48

2x=48

x=48/2=24

age of Shyam=24 years

age of Ram=24+4=28 years.

Step-by-step explanation:

number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Solve the inequality:

The solution set is the space to the right from 3, where 3 is given by an open circle.

Correct choice reflecting the answer is B:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Answer:

$ 2,600

Step-by-step explanation:

It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .

Here we just need to the number of people with the amount each person gave , that is ;

[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]

Hence the total money received by the organisation is $ 2600 .

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.

And the angles of the triangle will be supplementary angles. Then the equation is given as,

∠P + ∠Q + ∠R = 180°

53 + 90° + ∠R = 180°

∠R = 37°

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ7

Answer:

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

Step-by-step explanation:

The equation of a parabola in the intercept form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where:

p and q are x-intercepts

Now, we know the parabola intercepts at x=1 and x=3.

So we will have:

[tex]y=a(x-1)(x-3)[/tex]

Using the point (-1,16) we could find the value of a.

[tex]16=a(-1-1)(-1-3)[/tex]

[tex]16=a(-2)(-4)[/tex]

[tex]16=8a[/tex]

[tex]a=2[/tex]

Therefore, the equation is:

[tex]y=2(x-1)(x-3)[/tex]

[tex]y=2(x^{2}-4x+3)[/tex]

[tex]y=2x^{2}-8x+6[/tex]

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

I hope it helps you!

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. ... Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure.

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise? Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure

Answer:

Kenji is wrong

Step-by-step explanation:

3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵

but 12¹⁰ ≠ 12⁵

so , kenji is wrong

Answer:

275 adults

130 children

Step-by-step explanation:

Answer:

275 adults, 130 children

Step-by-step explanation:

Answer:

i dont  know tryna get points

Step-by-step explanation:

Answer:

Rotation 90⁰ clockwise about point (-1,-1)

Set up ratios of height / shadow length:

8/6 = x/100

Cross multiply

6x = 800

Divide both sides by 6

X = 133.33 feet

The tower is 133.3 feet

Answer:

-27k^4 +12k^3+16k^2+56k

---------------------

(9k-4)(2k+7)      

Step-by-step explanation:

8k                  3k^3

---------   -  -----------

9k-4             2k+7

Get a common denominator

8k *(2k+7)          3k^3 *(9k-4)

---------      -           -----------

(9k-4)(2k+7)        (9k-4)(2k+7)

Combine

8k *(2k+7) -3k^3 *(9k-4)

---------------------

(9k-4)(2k+7)        

Distribute

16k^2+56k -27k^4 +12k^3

---------------------

(9k-4)(2k+7)      

-27k^4 +12k^3+16k^2+56k

---------------------

(9k-4)(2k+7)        

Given:

Consider the given equation is:

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

To find:

The value of t in terms of p, q and r.

Solution:

We have,

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

It can be written as:

[tex]\dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}[/tex]

Taking square on both sides, we get

[tex]\dfrac{p^2}{2}=\dfrac{t}{r+q}[/tex]

Multiply both sides by (r+q).

[tex]\dfrac{p^2(r+q)}{2}=t[/tex]

Therefore, the required solution is [tex]t=\dfrac{p^2(r+q)}{2}[/tex].

Answer:

Scale model width = 12.5 yards

Step-by-step explanation:

Given:

Actual length of field = 120 yards

Actual width of field = 50 yards

Scale model length = 30 yards

FInd:

Scale model width

Computation:

Scale model width = [Scale model length / Actual length of field] Actual width of field

Scale model width = [30/120]50

Scale model width = [1/4]50

Scale model width = 0.25 x 50

Scale model width = 12.5 yards

five I think I am not sure

Answer:

Australia will have about 27 million

China will have about 1.41 billion

Mexico will have 133.35 million

Zaire will have about 100.9 million

Australia 2000 19,169,200 multiply your growth rate by 2 then divide it by your population your growth rate

China 1.2 billion in 2000 multiply your growth rate by 2 then divide it by your population your growth rate

Same for Mexico

and Zaire

Answer:

A. 9x

B. ( 2 + 3 + 4 ) x

Step-by-step explanation:

2x + 3x + 4x = 9x

2x + 3x + 4x

= ( 2 + 3 + 4 ) x

Answer:

14

Step-by-step explanation:

[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data showing the relationship between GPA and hours of study :

From the regression model given :

Regression equation is:

y = 0.141x + 1.096

Also, the regression Coefficient, R = 0.957

a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.

From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.

The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.

Here there is a strong positive relationship between GPA and Hours.

Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.

Answer:

57 students

Step-by-step explanation:

Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.

Then, divide that by 7, and you get the answer. 57.

Hope it helps!

Answer:

57 students

Step-by-step explanation:

405-6=399

399÷7=57

Answer:

3rd statement is correct

Answer:

both lines have the same slope, hence they are parallel to each other

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.

Given a line with an equation:

y = (2/3)x - 17

From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.

Also the other line has an equation of 4x - 6y = -6

6y = 4x + 6

y = (2/3)x + 1

Hence this line has a slope of 2/3 and a slope of 1.

Since both lines have the same slope, hence they are parallel to each other

[tex]\displaystyle\ (\sqrt{25x-16} )^2=\ (i)^2 \\\\ 25x-16=-1 \\\\25x=15\\\\\boxed{x=\frac{3}{5}}[/tex]

Answer:

30in^3

Step-by-step explanation:

3x1^2x10=

3x1x10=

30

30in^3

Answer:

30 in^3

Step-by-step explanation:

The formula given for the volume of a cone is:

V = πr^2h

The formula needs the radius, but the picture just shows a diameter.

We know that the radius is always twice the diameter so:

Diameter: 2 in

2 ÷ 2 = 1

So the radius is 1 inch

Use the formula to determine the volume:

πr^2h

= 3(1^2)(10)

= 3(1)(10)

= (3)(10)

= 30

Hope this helps